I had a look at the newspaper archives today to no avail either
When someone dies, as a rule, their next of kin will arrange the funeral;
most people are buried close to where they live or in a family grave so a little knowledge on the family might help you there
If she was single she may have been buried with her parents or a sibling
If she was married she may be buried with her husband's family.
If she was living in Dublin for a long period of time she may be in Dublin
The main south side options being: Mount Jerome, Kilmashogue, Bohernabreena, Templeogue Cemetery (if a grave was already owned there as it has been closed for quite a while to new purchases), and St. Maelruan's CoI Tallaght. However people can choose Deansgrange, Glasnevin and elsewhere.
A burial in Co. Wicklow would cost less than in Dublin and this may be a factor to consider
Less likely but possibly she choose a particular location or type of funeral which would not be common.
Do you know where she actually lived when she died?
Tallaght Hospital is a large hospital with several specialties that she may have been seen there but lived elsewhere - her death certificate may have her last residence.